Frame dependence of form factors in light-front dynamics

Abstract

In light-front dynamics, form factors are traditionally computed with the "good current" $J^{+}$ within the Drell-Yan frame $q^{+}=0$. Due to truncations imposed in practical calculations, the from factor may acquire frame dependence, which is often neglected. In this work, we explore the form factors in more general frames, preserving the boost covariance. We find the frame dependence of the elastic form factors for mesons is small in basis light-front holography and related models with two-body Fock space truncation. We suggest to use the difference between form factor results from Drell-Yan frame and the "longitudinal frame" as a metric for the violation of the Lorentz symmetry due to Fock space truncation.

13 pages, 21 figures. Submitted to Phys. Rev. D

References in corpus (8)

• Basis Light-Front Quantization Approach to Positronium
• Nonperturbative light-front Hamiltonian methods
• Advances in solving the two-fermion homogeneous Bethe-Salpeter equation in Minkowski space
• Pion and kaon elastic form factors in a refined light-front model
• Fermionic bound states in Minkowski-space: Light-cone singularities and structure
• Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations
• Euclidean to Minkowski Bethe-Salpeter amplitude and observables
• Non-Perturbative Calculation of the Scalar Yukawa Theory in Four-Body Truncation

Cited by in corpus (17)

• Quantum Simulation of Quantum Field Theory in the Light-Front Formulation
• Pion and kaon parton distribution functions from basis light front quantization and QCD evolution
• Basis light front quantization for the charged light mesons with color singlet Nambu--Jona-Lasinio interactions
• Parton Distribution Functions of Heavy Mesons on the Light Front
• Light mesons within the basis light-front quantization framework
• Radiative transitions between $0^{-+}$ and $1^{--}$ heavy quarkonia on the light front
• Form Factors and Generalized Parton Distributions of Heavy Quarkonia in Basis Light Front Quantization
• Impact of DCSB and dynamical diquark correlations on proton GPDs
• Frame dependence of transition form factors in light-front dynamics
• Self-consistent $M1$ radiative transitions of excited $B_c$ and heavy quarkonia with different polarizations in the light-front quark model
• Unambiguous Extraction of the Electromagnetic Form Factors for Spin-1 Particles on the Light-Front
• Basis Light-Front Quantization for a Chiral Nucleon-Pion Lagrangian
• Semileptonic Decay of $B_c$ to ${\eta }_c$ and $J/\psi$ on the Light Front
• Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory
• Covariant analysis of electromagnetic current on the light cone: exposition with scalar Yukawa theory
• Frame dependence of transition form factors in light-front dynamics
• Covariant form factors for spin-1 particles